Question

as shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). each suit is split into 13 individual cards (ace, 2-10, jack, queen, and king). if you select a card at random, what is the probability of getting: 1) a(n) 5 of diamond s? 2) a heart or club? 0.5 3) a number smaller than 2 (counting the ace as a 1)? 0.0769 express your answers as fractions or a decimals accurate to at least 4 decimal places.

Explanation:

Step1: Find favorable outcomes for 5 of Diamonds

There is 1 "5 of Diamonds" in a 52-card deck.

Step2: Calculate probability for 5 of Diamonds

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{52} \approx 0.0192$

Answer:

1. $\frac{1}{52}$ (or 0.0192)
2. 0.5
3. 0.0769